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Type 'q()' to quit R. > x <- array(list(1.3,0,1.2,0,1.6,0,1.7,0,1.5,0,0.9,0,1.5,0,1.4,0,1.6,0,1.7,0,1.4,0,1.8,0,1.7,0,1.4,0,1.2,0,1.0,0,1.7,0,2.4,0,2.0,0,2.1,0,2.0,0,1.8,0,2.7,0,2.3,0,1.9,0,2.0,0,2.3,0,2.8,0,2.4,0,2.3,0,2.7,0,2.7,0,2.9,0,3.0,0,2.2,0,2.3,0,2.8,0,2.8,0,2.8,0,2.2,0,2.6,0,2.8,0,2.5,0,2.4,0,2.3,0,1.9,0,1.7,0,2.0,0,2.1,0,1.7,0,1.8,0,1.8,0,1.8,0,1.3,0,1.3,0,1.3,0,1.2,0,1.4,0,2.2,0,2.9,1),dim=c(2,60),dimnames=list(c('y','x'),1:60)) > y <- array(NA,dim=c(2,60),dimnames=list(c('y','x'),1:60)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'No Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '1' > #'GNU S' R Code compiled by R2WASP v. 1.0.44 () > #Author: Prof. Dr. P. Wessa > #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > library(lattice) > par1 <- as.numeric(par1) > x <- t(y) > k <- length(x[1,]) > n <- length(x[,1]) > x1 <- cbind(x[,par1], x[,1:k!=par1]) > mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1]) > colnames(x1) <- mycolnames #colnames(x)[par1] > x <- x1 > if (par3 == 'First Differences'){ + x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep=''))) + for (i in 1:n-1) { + for (j in 1:k) { + x2[i,j] <- x[i+1,j] - x[i,j] + } + } + x <- x2 + } > if (par2 == 'Include Monthly Dummies'){ + x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep =''))) + for (i in 1:11){ + x2[seq(i,n,12),i] <- 1 + } + x <- cbind(x, x2) + } > if (par2 == 'Include Quarterly Dummies'){ + x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep =''))) + for (i in 1:3){ + x2[seq(i,n,4),i] <- 1 + } + x <- cbind(x, x2) + } > k <- length(x[1,]) > if (par3 == 'Linear Trend'){ + x <- cbind(x, c(1:n)) + colnames(x)[k+1] <- 't' + } > x y x 1 1.3 0 2 1.2 0 3 1.6 0 4 1.7 0 5 1.5 0 6 0.9 0 7 1.5 0 8 1.4 0 9 1.6 0 10 1.7 0 11 1.4 0 12 1.8 0 13 1.7 0 14 1.4 0 15 1.2 0 16 1.0 0 17 1.7 0 18 2.4 0 19 2.0 0 20 2.1 0 21 2.0 0 22 1.8 0 23 2.7 0 24 2.3 0 25 1.9 0 26 2.0 0 27 2.3 0 28 2.8 0 29 2.4 0 30 2.3 0 31 2.7 0 32 2.7 0 33 2.9 0 34 3.0 0 35 2.2 0 36 2.3 0 37 2.8 0 38 2.8 0 39 2.8 0 40 2.2 0 41 2.6 0 42 2.8 0 43 2.5 0 44 2.4 0 45 2.3 0 46 1.9 0 47 1.7 0 48 2.0 0 49 2.1 0 50 1.7 0 51 1.8 0 52 1.8 0 53 1.8 0 54 1.3 0 55 1.3 0 56 1.3 0 57 1.2 0 58 1.4 0 59 2.2 0 60 2.9 1 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) x 1.9678 0.9322 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -1.0678 -0.3928 -0.0339 0.3572 1.0322 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.96780 0.07091 27.749 <2e-16 *** x 0.93220 0.54930 1.697 0.095 . --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.5447 on 58 degrees of freedom Multiple R-Squared: 0.04731, Adjusted R-squared: 0.03088 F-statistic: 2.88 on 1 and 58 DF, p-value: 0.09504 > postscript(file="/var/www/html/rcomp/tmp/1g4ej1197487861.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index') > points(x[,1]-mysum$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/2q35w1197487861.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/3oaw81197487861.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/4418l1197487861.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/5v4aw1197487861.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$resid, main='Residual Normal Q-Q Plot') > grid() > dev.off() null device 1 > (myerror <- as.ts(mysum$resid)) Time Series: Start = 1 End = 60 Frequency = 1 1 2 3 4 5 -6.677966e-01 -7.677966e-01 -3.677966e-01 -2.677966e-01 -4.677966e-01 6 7 8 9 10 -1.067797e+00 -4.677966e-01 -5.677966e-01 -3.677966e-01 -2.677966e-01 11 12 13 14 15 -5.677966e-01 -1.677966e-01 -2.677966e-01 -5.677966e-01 -7.677966e-01 16 17 18 19 20 -9.677966e-01 -2.677966e-01 4.322034e-01 3.220339e-02 1.322034e-01 21 22 23 24 25 3.220339e-02 -1.677966e-01 7.322034e-01 3.322034e-01 -6.779661e-02 26 27 28 29 30 3.220339e-02 3.322034e-01 8.322034e-01 4.322034e-01 3.322034e-01 31 32 33 34 35 7.322034e-01 7.322034e-01 9.322034e-01 1.032203e+00 2.322034e-01 36 37 38 39 40 3.322034e-01 8.322034e-01 8.322034e-01 8.322034e-01 2.322034e-01 41 42 43 44 45 6.322034e-01 8.322034e-01 5.322034e-01 4.322034e-01 3.322034e-01 46 47 48 49 50 -6.779661e-02 -2.677966e-01 3.220339e-02 1.322034e-01 -2.677966e-01 51 52 53 54 55 -1.677966e-01 -1.677966e-01 -1.677966e-01 -6.677966e-01 -6.677966e-01 56 57 58 59 60 -6.677966e-01 -7.677966e-01 -5.677966e-01 2.322034e-01 -6.505213e-17 > postscript(file="/var/www/html/rcomp/tmp/6vxf21197487861.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > dum <- cbind(lag(myerror,k=1),myerror) > dum Time Series: Start = 0 End = 60 Frequency = 1 lag(myerror, k = 1) myerror 0 -6.677966e-01 NA 1 -7.677966e-01 -6.677966e-01 2 -3.677966e-01 -7.677966e-01 3 -2.677966e-01 -3.677966e-01 4 -4.677966e-01 -2.677966e-01 5 -1.067797e+00 -4.677966e-01 6 -4.677966e-01 -1.067797e+00 7 -5.677966e-01 -4.677966e-01 8 -3.677966e-01 -5.677966e-01 9 -2.677966e-01 -3.677966e-01 10 -5.677966e-01 -2.677966e-01 11 -1.677966e-01 -5.677966e-01 12 -2.677966e-01 -1.677966e-01 13 -5.677966e-01 -2.677966e-01 14 -7.677966e-01 -5.677966e-01 15 -9.677966e-01 -7.677966e-01 16 -2.677966e-01 -9.677966e-01 17 4.322034e-01 -2.677966e-01 18 3.220339e-02 4.322034e-01 19 1.322034e-01 3.220339e-02 20 3.220339e-02 1.322034e-01 21 -1.677966e-01 3.220339e-02 22 7.322034e-01 -1.677966e-01 23 3.322034e-01 7.322034e-01 24 -6.779661e-02 3.322034e-01 25 3.220339e-02 -6.779661e-02 26 3.322034e-01 3.220339e-02 27 8.322034e-01 3.322034e-01 28 4.322034e-01 8.322034e-01 29 3.322034e-01 4.322034e-01 30 7.322034e-01 3.322034e-01 31 7.322034e-01 7.322034e-01 32 9.322034e-01 7.322034e-01 33 1.032203e+00 9.322034e-01 34 2.322034e-01 1.032203e+00 35 3.322034e-01 2.322034e-01 36 8.322034e-01 3.322034e-01 37 8.322034e-01 8.322034e-01 38 8.322034e-01 8.322034e-01 39 2.322034e-01 8.322034e-01 40 6.322034e-01 2.322034e-01 41 8.322034e-01 6.322034e-01 42 5.322034e-01 8.322034e-01 43 4.322034e-01 5.322034e-01 44 3.322034e-01 4.322034e-01 45 -6.779661e-02 3.322034e-01 46 -2.677966e-01 -6.779661e-02 47 3.220339e-02 -2.677966e-01 48 1.322034e-01 3.220339e-02 49 -2.677966e-01 1.322034e-01 50 -1.677966e-01 -2.677966e-01 51 -1.677966e-01 -1.677966e-01 52 -1.677966e-01 -1.677966e-01 53 -6.677966e-01 -1.677966e-01 54 -6.677966e-01 -6.677966e-01 55 -6.677966e-01 -6.677966e-01 56 -7.677966e-01 -6.677966e-01 57 -5.677966e-01 -7.677966e-01 58 2.322034e-01 -5.677966e-01 59 -6.505213e-17 2.322034e-01 60 NA -6.505213e-17 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -7.677966e-01 -0.66779661 [2,] -3.677966e-01 -0.76779661 [3,] -2.677966e-01 -0.36779661 [4,] -4.677966e-01 -0.26779661 [5,] -1.067797e+00 -0.46779661 [6,] -4.677966e-01 -1.06779661 [7,] -5.677966e-01 -0.46779661 [8,] -3.677966e-01 -0.56779661 [9,] -2.677966e-01 -0.36779661 [10,] -5.677966e-01 -0.26779661 [11,] -1.677966e-01 -0.56779661 [12,] -2.677966e-01 -0.16779661 [13,] -5.677966e-01 -0.26779661 [14,] -7.677966e-01 -0.56779661 [15,] -9.677966e-01 -0.76779661 [16,] -2.677966e-01 -0.96779661 [17,] 4.322034e-01 -0.26779661 [18,] 3.220339e-02 0.43220339 [19,] 1.322034e-01 0.03220339 [20,] 3.220339e-02 0.13220339 [21,] -1.677966e-01 0.03220339 [22,] 7.322034e-01 -0.16779661 [23,] 3.322034e-01 0.73220339 [24,] -6.779661e-02 0.33220339 [25,] 3.220339e-02 -0.06779661 [26,] 3.322034e-01 0.03220339 [27,] 8.322034e-01 0.33220339 [28,] 4.322034e-01 0.83220339 [29,] 3.322034e-01 0.43220339 [30,] 7.322034e-01 0.33220339 [31,] 7.322034e-01 0.73220339 [32,] 9.322034e-01 0.73220339 [33,] 1.032203e+00 0.93220339 [34,] 2.322034e-01 1.03220339 [35,] 3.322034e-01 0.23220339 [36,] 8.322034e-01 0.33220339 [37,] 8.322034e-01 0.83220339 [38,] 8.322034e-01 0.83220339 [39,] 2.322034e-01 0.83220339 [40,] 6.322034e-01 0.23220339 [41,] 8.322034e-01 0.63220339 [42,] 5.322034e-01 0.83220339 [43,] 4.322034e-01 0.53220339 [44,] 3.322034e-01 0.43220339 [45,] -6.779661e-02 0.33220339 [46,] -2.677966e-01 -0.06779661 [47,] 3.220339e-02 -0.26779661 [48,] 1.322034e-01 0.03220339 [49,] -2.677966e-01 0.13220339 [50,] -1.677966e-01 -0.26779661 [51,] -1.677966e-01 -0.16779661 [52,] -1.677966e-01 -0.16779661 [53,] -6.677966e-01 -0.16779661 [54,] -6.677966e-01 -0.66779661 [55,] -6.677966e-01 -0.66779661 [56,] -7.677966e-01 -0.66779661 [57,] -5.677966e-01 -0.76779661 [58,] 2.322034e-01 -0.56779661 [59,] -6.505213e-17 0.23220339 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -7.677966e-01 -0.66779661 2 -3.677966e-01 -0.76779661 3 -2.677966e-01 -0.36779661 4 -4.677966e-01 -0.26779661 5 -1.067797e+00 -0.46779661 6 -4.677966e-01 -1.06779661 7 -5.677966e-01 -0.46779661 8 -3.677966e-01 -0.56779661 9 -2.677966e-01 -0.36779661 10 -5.677966e-01 -0.26779661 11 -1.677966e-01 -0.56779661 12 -2.677966e-01 -0.16779661 13 -5.677966e-01 -0.26779661 14 -7.677966e-01 -0.56779661 15 -9.677966e-01 -0.76779661 16 -2.677966e-01 -0.96779661 17 4.322034e-01 -0.26779661 18 3.220339e-02 0.43220339 19 1.322034e-01 0.03220339 20 3.220339e-02 0.13220339 21 -1.677966e-01 0.03220339 22 7.322034e-01 -0.16779661 23 3.322034e-01 0.73220339 24 -6.779661e-02 0.33220339 25 3.220339e-02 -0.06779661 26 3.322034e-01 0.03220339 27 8.322034e-01 0.33220339 28 4.322034e-01 0.83220339 29 3.322034e-01 0.43220339 30 7.322034e-01 0.33220339 31 7.322034e-01 0.73220339 32 9.322034e-01 0.73220339 33 1.032203e+00 0.93220339 34 2.322034e-01 1.03220339 35 3.322034e-01 0.23220339 36 8.322034e-01 0.33220339 37 8.322034e-01 0.83220339 38 8.322034e-01 0.83220339 39 2.322034e-01 0.83220339 40 6.322034e-01 0.23220339 41 8.322034e-01 0.63220339 42 5.322034e-01 0.83220339 43 4.322034e-01 0.53220339 44 3.322034e-01 0.43220339 45 -6.779661e-02 0.33220339 46 -2.677966e-01 -0.06779661 47 3.220339e-02 -0.26779661 48 1.322034e-01 0.03220339 49 -2.677966e-01 0.13220339 50 -1.677966e-01 -0.26779661 51 -1.677966e-01 -0.16779661 52 -1.677966e-01 -0.16779661 53 -6.677966e-01 -0.16779661 54 -6.677966e-01 -0.66779661 55 -6.677966e-01 -0.66779661 56 -7.677966e-01 -0.66779661 57 -5.677966e-01 -0.76779661 58 2.322034e-01 -0.56779661 59 -6.505213e-17 0.23220339 > plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals') > lines(lowess(z)) > abline(lm(z)) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/7guo61197487862.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/84zc41197487862.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/93ya71197487862.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > load(file='/var/www/html/rcomp/createtable') > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '') + myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ') + if (rownames(mysum$coefficients)[i] != '(Intercept)') { + myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='') + if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/html/rcomp/tmp/10olrj1197487862.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE) + a<-table.element(a,mysum$coefficients[i,1]) + a<-table.element(a, round(mysum$coefficients[i,2],6)) + a<-table.element(a, round(mysum$coefficients[i,3],4)) + a<-table.element(a, round(mysum$coefficients[i,4],6)) + a<-table.element(a, round(mysum$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/www/html/rcomp/tmp/11nwcf1197487862.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$r.squared)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'R-squared',1,TRUE) > a<-table.element(a, mysum$r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Adjusted R-squared',1,TRUE) > a<-table.element(a, mysum$adj.r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (value)',1,TRUE) > a<-table.element(a, mysum$fstatistic[1]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[2]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[3]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'p-value',1,TRUE) > a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3])) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Residual Standard Deviation',1,TRUE) > a<-table.element(a, mysum$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/html/rcomp/tmp/12c14x1197487862.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$resid[i]) + a<-table.element(a,mysum$resid[i]) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/www/html/rcomp/tmp/13amhf1197487862.tab") > > system("convert tmp/1g4ej1197487861.ps tmp/1g4ej1197487861.png") > system("convert tmp/2q35w1197487861.ps tmp/2q35w1197487861.png") > system("convert tmp/3oaw81197487861.ps tmp/3oaw81197487861.png") > system("convert tmp/4418l1197487861.ps tmp/4418l1197487861.png") > system("convert tmp/5v4aw1197487861.ps tmp/5v4aw1197487861.png") > system("convert tmp/6vxf21197487861.ps tmp/6vxf21197487861.png") > system("convert tmp/7guo61197487862.ps tmp/7guo61197487862.png") > system("convert tmp/84zc41197487862.ps tmp/84zc41197487862.png") > system("convert tmp/93ya71197487862.ps tmp/93ya71197487862.png") > > > proc.time() user system elapsed 3.949 2.454 4.270